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IMA Journal of Mathematical Control and Information 2002 19(1 and 2):173-184; doi:10.1093/imamci/19.1_and_2.173
© 2002 by Institute of Mathematics and its Applications
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On a dynamical identification of controls in nonlinear time-lag systems

V. Maksimov1 and L. Pandolfi2

1 Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, S. Kovalevskaya Str. 16, 620219, Ekaterinburg, Russia 2 Politecnico di Torino, Dipartimento di Matematica, Corso Duca degli Abruzzi 24, I–10129 Torino, Italy

We study the problem of dynamical identification of unknown inputs (disturbances, or sometimes control) to nonlinear systems described by differential equations with delays. We use an approach based on the construction of a feedback control which should act on a suitable ‘model’ of the given system. The state of the model system is then compared with that of the plant, at discrete time instants. We shall obtain in this way enough information for the construction of a sequence of feedback controls vn (·), which approximate the unknown input.

Keywords: control; identification; time-lag system.


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